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Finding the Fourth Proportional to 3,190.80, 4,786.16 and 1,434.83

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Solution

The fourth proportional to 3,190.80, 4,786.16 and 1,434.83 is: 2,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.80 : 4,786.16 = 1,434.83 : x
  2. Step 2: Convert to fraction form
    3,190.80/4,786.16 = 1,434.83/x
  3. Step 3: Cross multiply
    3,190.80x = 4,786.16 × 1,434.83
  4. Step 4: Simplify right side
    3,190.80x = 6,867,341.51
  5. Step 5: Solve for x
    x = 6,867,341.51/3,190.80
  6. Step 6: Final answer
    x = 2,152.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.